Solution of the Equations of Motion

When using static or stationary fundamental solutions in conjunction with the Dual Reciprocity Boundary Element Method, the resulting systems of equations contain time-independent system matrices. These systems are solved using different algorithms adapted to the particular kind of analysis to be performed, for example, transient analysis, solution of the eigenproblem, etc. The algorithms are similar to those employed in Finite Element analysis, but the system matrices in the Boundary Element Method are neither symmetric nor positive-definite; this can lead to difficulties in the solution of the eigenproblem or in transient analyses if the algorithms are not employed judiciously.